Find the number a such that the limit exists. 3x2 + ax + a + 6 lim x2 + x - 2 X--2 a 18 Find the value of the limit. II

Q: 2. f(x)= 4-x and g(x)= Vx+1 b. lim g (x) X-3

A: Given function is gx=x+1.

Q: Va+2x-V3x Find lim x-a v3a+x-2Vx

A:

Q: The value of lim (-x² + 5x – 2) I-2 is O a 10 b 12 O c 4 d 6

A: The given limit is limx→2(-x2+5x-2)

Q: The Second Gate As you move through the first gate, you can see another gate not far in front of…

A: Given: g(x) = x+5x2-25 The function does not exist when their denominator is zero. That is,…

Q: a3 – 1 + 3.r lim -00 VA.r – 2x

A: We will take common the highest power of the x, and then terms will cancel out which will make easy…

Q: Va²+9-5 Evaluate lim > 4 %3D x+4

A:

Q: x3+27 b. lim x--3 x+3 hint: a3 + b3 = (a + b) (a2 – ab + b2)

A:

Q: ■ Find the limit.

A: Given- limx→12-xx-12 To find- The value of the above limit.

Q: 17x + 12x3 Calculate lim x+o -200x + 4x3

A:

Q: Find the limit. lim x-64 √√x-8 x - 64

A: To find the following limit. limx→64 x-8x-64

Q: lim メ-9 X -3

A:

Q: 10x2 5x Evaluate : - lim 5x2 + 16 О 2.000 O 0.312

A: We will find the limit.

Q: 4 - 3x3 lim x-00 Vx + 9

A: *concept:- take x^3 common from both numerator and denominator. it get cancelled out.

Q: 5x + 2 lim log + 6 10x + 12 ° X-

A:

Q: < Use the graph of the function f shown to the right to find f(1), f(2), and f(3). f(1) =0 SEEB Aу

A:

Q: ■ Find the limit.

A: Given, limx→∞x4-3x2+xx3-x+2

Q: ■ Find the limit.

A: we have to find the limit:  limx→∞2x2+12x-12x2+x

Q: ■ Find the limit.

A: We have to find the limit: limx→-3+x+2x+3 Since x→a+ denotes the right hand limit of the function.…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.